Pith Number

pith:D26M3A65

pith:2011:D26M3A65GWGB3WL3KJ6WBIFWPU

not attested not anchored not stored refs pending

Automatic asymptotics for coefficients of smooth, bivariate rational functions

Joris van der Hoeven, Robin Pemantle, Timothy DeVries

arxiv:1108.1209 v2 · 2011-08-04 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D26M3A65GWGB3WL3KJ6WBIFWPU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:50:25.798352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ebccd83dd358c1dd97b527d60a0b67d24e9021a667f8572edbb9244de1ac531

Aliases

arxiv: 1108.1209 · arxiv_version: 1108.1209v2 · doi: 10.48550/arxiv.1108.1209 · pith_short_12: D26M3A65GWGB · pith_short_16: D26M3A65GWGB3WL3 · pith_short_8: D26M3A65

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/D26M3A65GWGB3WL3KJ6WBIFWPU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1ebccd83dd358c1dd97b527d60a0b67d24e9021a667f8572edbb9244de1ac531

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e3bf44ce82222422d075ff721c64f2e35304c551cd520f1ee1b49710c06aebe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-04T20:30:49Z",
    "title_canon_sha256": "5591ad8af395c3c9e0c67c562035d573af9459132d96fa2d8f3bc16db5c9cf17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1209",
    "kind": "arxiv",
    "version": 2
  }
}